South Carolina Standards Alignments | Media4Math

SC Standards Alignments

These are the resources that support this South Carolina Standard.

a1.arei.4 - Solve mathematical and real-world problems involving quadratic equations in one variable. (Note: A1.AREI.4a and 4b are not Graduation Standards.) a. Use the method of completing the square to transform any quadratic equation in 𝑥 into an equation of the form (𝑥 − ℎ)^2 = 𝑘 that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as 𝑎 + 𝑏𝑖 for real numbers 𝑎 and 𝑏. (Limit to non- complex roots.)

Displaying 51 - 100 of 221 resources:

Thumbnail Image	Title	Description	Curriculum Nodes
	Definition--Quadratics Concepts--y-intercept	y-intercept	Quadratic Equations and Functions
	Formulas--Discriminant	Formulas--Discriminant The formula for the Discriminant.	Quadratic Formula
	Formulas--Quadratic Formula	Formulas--Quadratic Formula The formula for the Quadratic Formula.	Quadratic Formula
	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 + bx + c = 0	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 + bx + c = 0 In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots.	Polynomial Functions and Equations
	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 + bx - c = 0	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 + bx - c = 0 In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots.	Polynomial Functions and Equations
	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 - bx + c = 0	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 - bx + c = 0 In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots.	Polynomial Functions and Equations
	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 - bx - c	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 - bx - c In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots.	Polynomial Functions and Equations
	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: ax^2 + bx + c = 0	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: ax^2 + bx + c = 0 In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots.	Polynomial Functions and Equations
	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: ax^2 + bx - c = 0	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: ax^2 + bx - c = 0 In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots.	Polynomial Functions and Equations
	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: ax^2 - bx + c = 0	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: ax^2 - bx + c = 0 In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots.	Polynomial Functions and Equations
	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: ax^2 - bx - c = 0	INSTRUCTIONAL RESOURCE: Anatomy of an Equation: ax^2 - bx - c = 0 In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots.	Polynomial Functions and Equations
	INSTRUCTIONAL RESOURCE: Math Examples 2	INSTRUCTIONAL RESOURCE: Math Examples--Completing the Square The complete set of 4 examples that make up this set of tutorials.	Quadratic Formula and Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Math Examples 40	INSTRUCTIONAL RESOURCE: Math Examples--Quadratic Formula The complete set of 12 examples that make up this set of tutorials.	Quadratic Equations and Functions and Quadratic Formula
	INSTRUCTIONAL RESOURCE: Math Examples 41	INSTRUCTIONAL RESOURCE: Math Examples--Quadratic Functions in Tabular and Graph Form This set of tutorials provides 37 examples of quadratic functions in tabular and graph form.	Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Math Examples 50	INSTRUCTIONAL RESOURCE: Math Examples--Solving Quadratics Graphically This set of tutorials provides 8 examples of graphical solutions to quadratic equations.	Quadratic Equations and Functions
	Instructional Resource: Quadratic Regression on Desmos	INSTRUCTIONAL RESOURCE: Tutorial: Quadratic Regression on Desmos In this tutorial we walk students through the steps of doing a quadratic regression on a Desmos graphing calculator.	Quadratic Equations and Functions and Data Analysis
	INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Factored Form	INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Factored Form This slide show provides 8 examples of quadratic functions in factored form and analyzes their graphs.	Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Standard Form	INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Standard Form This slide show provides 18 examples of quadratic functions in standard form and analyzes their graphs.	Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Vertex Form	INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Vertex Form This slide show provides 8 examples of quadratic functions in vertex form and analyzes their graphs.	Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Tutorial: Complex Roots of Quadratic Equations	INSTRUCTIONAL RESOURCE: Tutorial: Complex Roots of Quadratic Equations This slide show shows several worked-out examples that show how to calculate the complex roots of quadratics.	Numerical and Algebraic Expressions and Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Tutorial: Graphs of Quadratic Functions	INSTRUCTIONAL RESOURCE: Tutorial: Graphs of Quadratic Functions In this Slide Show, learn about graphs of quadratic functions.	Applications of Quadratic Functions and Graphs of Quadratic Functions
	INSTRUCTIONAL RESOURCE: Tutorial: Increasing and Decreasing Quadratic Functions	INSTRUCTIONAL RESOURCE: Tutorial: Increasing and Decreasing Quadratic Functions In this presentation, learn how to identify the increasing and decreasing parts of a quadratic function.	Graphs of Quadratic Functions and Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Tutorial: Quadratic Function Models	INSTRUCTIONAL RESOURCE: Tutorial: Quadratic Function Models In this Slide Show, learn about graphs of quadratic functions.	Applications of Quadratic Functions and Graphs of Quadratic Functions
	INSTRUCTIONAL RESOURCE: Tutorial: Solving Quadratic Equations by Completing the Square	INSTRUCTIONAL RESOURCE: Tutorial: Solving Quadratic Equations by Completing the Square In this Slide Show, learn how to solve a quadratic equation by completing the square.	Quadratic Formula and Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Tutorial: Solving Quadratics Algebraically	INSTRUCTIONAL RESOURCE: Tutorial: Solving Quadratics Algebraically This slide show covers how to solve quadratic equations algebraically.	Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Tutorial: The Discriminant	INSTRUCTIONAL RESOURCE: Tutorial: The Discriminant In this Slide Show, learn about the role of the discriminant in solving a quadratic equation.	Quadratic Formula
	INSTRUCTIONAL RESOURCE: Tutorial: The Quadratic Formula	INSTRUCTIONAL RESOURCE: Tutorial: The Quadratic Formula In this Slide Show, learn about using the quadratic formula.	Quadratic Formula
	INSTRUCTIONAL RESOURCE: Tutorial: The Structure of a Quadratic Function	INSTRUCTIONAL RESOURCE: Tutorial: The Structure of a Quadratic Function This slide show shows the structure of a quadratic function.	Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Tutorial: What Is a Quadratic Equation?	INSTRUCTIONAL RESOURCE: Tutorial: What Is a Quadratic Equation? This slide show covers the basics of quadratic equations.	Quadratic Equations and Functions
	INSTRUCTIONAL RESOURCE: Tutorial: What Is a Quadratic Function?	INSTRUCTIONAL RESOURCE: Tutorial: What Is a Quadratic Function? This slide show covers the basics of quadratic functions.	Quadratic Equations and Functions
	Interactive Quiz: The Discriminant, Quiz 01, Level 1	Interactive Quiz: The Discriminant, Quiz 01, Level 1 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 01, Level 2	Interactive Quiz: The Discriminant, Quiz 01, Level 2 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 01, Level 3	Interactive Quiz: The Discriminant, Quiz 01, Level 3 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 02, Level 1	Interactive Quiz: The Discriminant, Quiz 02, Level 1 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 02, Level 2	Interactive Quiz: The Discriminant, Quiz 02, Level 2 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 02, Level 3	Interactive Quiz: The Discriminant, Quiz 02, Level 3 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 03, Level 1	Interactive Quiz: The Discriminant, Quiz 03, Level 1 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 03, Level 2	Interactive Quiz: The Discriminant, Quiz 03, Level 2 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 03, Level 3	Interactive Quiz: The Discriminant, Quiz 03, Level 3 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 04, Level 1	Interactive Quiz: The Discriminant, Quiz 04, Level 1 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 04, Level 2	Interactive Quiz: The Discriminant, Quiz 04, Level 2 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 04, Level 3	Interactive Quiz: The Discriminant, Quiz 04, Level 3 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 05, Level 1	Interactive Quiz: The Discriminant, Quiz 05, Level 1 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 05, Level 2	Interactive Quiz: The Discriminant, Quiz 05, Level 2 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 05, Level 3	Interactive Quiz: The Discriminant, Quiz 05, Level 3 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 06, Level 1	Interactive Quiz: The Discriminant, Quiz 06, Level 1 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 06, Level 2	Interactive Quiz: The Discriminant, Quiz 06, Level 2 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 06, Level 3	Interactive Quiz: The Discriminant, Quiz 06, Level 3 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 07, Level 1	Interactive Quiz: The Discriminant, Quiz 07, Level 1 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula
	Interactive Quiz: The Discriminant, Quiz 07, Level 2	Interactive Quiz: The Discriminant, Quiz 07, Level 2 This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.	Quadratic Formula